Arrive shortly to seize doctor’s computer drive (2,3)
I believe the answer is:
cd rom
'drive' is the definition.
(type of drive)
'arrive shortly to seize doctor's computer' is the wordplay.
'arrive' becomes 'come' (synonyms).
'shortly' means to remove the last letter.
'to seize' indicates putting letters inside.
'doctor's computer' becomes 'dr' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'come' with its last letter removed is 'com'.
'com' going around 'dr' is 'CD-ROM'.
Can you help me to learn more?
(Other definitions for cd rom that I've seen before include "vehicle for storage" , "Repository of facts" .)